Name:________________________________________________________________________________Date:_____/_____/__________
1. How many terms are in the following algebraic expression? _____
4 + y - 6(3) + 9x - 𝟐 𝟓
Remember, EVERY
variable has a
coefficient!!
2. Name the coefficient:
a) The coefficient of x is . . . _____________
b) The coefficient of -5x is . . . _____________
c) The coefficient of - x is . . . _____________
3. Fill-in-the-chart:
Algebraic Expression
Change subtraction
to addition of
opposite (KCC)!!
Coefficient(s)
Variable(s)
Constant(s)
6m - 5n – 8 + p
4. Evaluate when r = -6 and t = -3 :
a)
c)
8–r
rt + (r - t)²
b)
t²
d)
- 3²
PROPERTY
PREVIEW
Today
We will:
1. Continue Properties Foldable
2. Practice the Following Properties:
IDENTITY
INVERSE
COMMUTATIVE
REVIEW
Identity Property:
The answer STAYS the SAME!
Just remember you can
secure your identity if you:
Add ZERO
______
OR
Multiply by ONE
_____
REVIEW
Inverse Property:
All about the OPPOSITE!
EXAMPLES
Additive Inverse
Multiplicative Inverse
-a + a = 0
-5 + 5 = 0
1
3
- +
1
3
=0
4.6 + (-4.6) = 0
8 + (-8) = 0
This is like a
zero pair!
𝒂 𝒃
▪
𝒃 𝒂
𝟑
𝟒
𝟒
▪
𝟑
𝟓 𝟏
▪
𝟏 𝟓
𝟏
6▪
𝟔
=
=1
12
12
=1
5
= 5 =1
6
=6=1
Commutative
Property:
+
=
+
EXAMPLES
Commutative
of Addition
Commutative
of Multiplication
a+b=b+a
a▪b = b▪a
5+3=3+5
5▪3 = 3▪5
9.5 + 2 = 2 + 9.5
-
1
2
▪7 = 7▪-
Works for Addition
and Multiplication
1
2
Name:_________________________________________________________________Date:_____/_____/__________
Which property is being performed?
Identity of Addition
Identity of Multiplication
(The answer stays the SAME)
Inverse of Addition
Inverse of Multiplication
(All about the OPPOSITE)
Commutative of Addition
Commutative of Multiplication
(ORDER changes)
2 3
∙
3 2
1.
4 + 1 = 1 + 4 ________________________
4.
2.
5.2 + -5.2 = 0 ________________________
5.
-12 + 0 = -12 ________________________
3.
6(1) = 6 ______________________________
6.
5(7) = 7(5) ___________________________
= 1 ______________________________
Ask yourself: What
changed?
Which property was used to solve the following expressions?
(Look at the numbers that are underlined)
1.
4 + 29 + 6
4 + 6 + 29
10 + 29
39
4.
47 (1) + 3
47 + 3 ___________________________
50
5.
8 ∙ + 78
𝟖
1 + 78 ___________________________
79
6.
4 (14) (5)
4 (5) (14) ___________________________
20 (14)
280
____________________________
2.
5 + 0 + 23
5 + 23
____________________________
28
3.
36 + (-2) + 2
36 + 0
____________________________
36
𝟏
Today’s Lesson:
What:
translating algebraic sentences
Why:
To translate algebraic sentences
(expressions and equations) between
verbal form and algebraic form.
Vocabulary . . .
Expression—
math sentence that does NOT contain an
_____________
equal
(=) symbol!
Equation–
math sentence that _________________
contain
MUST
an equal symbol!
Addition Key Words
Subtraction Key
Words
Multiplication Key
Words
Division Key Words
“is” means ___________
Translate the following into algebraic
sentences:
1)
six less a number
6-n
3)
the quotient of a
number and twenty
𝒏
𝟐𝟎
2)
six less than a number
n-6
4)
the product of eight and
a number cubed
8n3
5)
Twice a number is six
less than eight.
6)
The total of a number
squared and four is
equal to seven.
2n = 8 - 6
n2 + 4 = 7
7)
two times a number,
plus five
2n + 5
8)
two times the sum of a
number and five
2(n +5)
9)
10)
twice the difference of a twice a number, minus
number and seven
seven
2(n – 7)
11)
Twelve divided by a
number is four.
𝟏𝟐
=
4
𝒏
2n - 7
12)
Twice a number divided
by ten is four less two.
𝟐𝒏
𝟏𝟎
=4-2
13)
14)
one-fourth of a number nine more than twice a
is the same as ten.
number
𝟏
n
=
10
𝟒
2n + 9
Translate the following into verbal
sentences (words):
(Answers can vary)
1) y – 6
“six less than y”
2) x² + 15 = 24
“The sum of a number squared and fifteen
is equal to twenty-four.”
3) 8 + (x + 3)
“eight plus the sum of a number and three”
4) 2x – 9 = 1
“Twice a number minus nine is one.”
5)
x_ + 8 = 4y
2
“A number divided by two, plus eight is
four times a number.”
IXL HOmework
Seventh Grade – R.1 and R.2
https://www.ixl.com/signin/jlsms
EARN a Smart Score of 70 & work for at least 10 minutes!
DON’T FORGET TO LOG IN!
(You won’t receive credit for doing your homework if you are not logged in!)
TO LOG IN:
CLICK on the IXL button on the Simpson Home Page (left side)
Username: given to you by your teacher
(Usually your initial of first name, and full last name)
Password: math7
•
• CLICK on MATH
• CLICK on 7th GRADE
CLICK on the skill(s) assigned for homework
EARN a Smart Score of 70 on the assigned skill(s),
then you are done!
(Spend at least 10 minutes practicing.)
END OF LESSON
The next slides are student copies of the notes for this
lesson. These notes were handed out in class and
filled-in as the lesson progressed.
NOTE: The last slide(s) in any lesson slideshow
(entitled “Practice Work”) represent the homework
assigned for that day.
Math-7 NOTES
NAME:
DATE: ______/_______/_______
What: translating algebraic sentences
Why: To translate algebraic sentences (expressions and equations)
between verbal form and algebraic form.
Expression—math sentence that does NOT contain an _____________ symbol!
Equation– math sentence that __________________ contain an equal symbol!
Brainstorm . . .
Addition Key Words
Subtraction Key Words
Multiplication Key Words
Division Key Words
“is” means ___________
Translate the following into algebraic sentences:
1) six less a number
2) six less than a number
3) the quotient of a number and
twenty
4) the product of eight and a
number cubed
6) The total of a number squared
and four is equal to seven.
5) Twice a number is six less
than eight.
7) two times a number, plus five
8) two times the sum of a number
and five
9) twice the difference of a
number and seven
10) twice a number, minus seven
11) Twelve divided by a number is
four.
12) Twice a number divided by ten
is four less two.
13) one-fourth of a number is the
same as ten.
14) nine more than twice a
number
Translate the following into verbal sentences (words):
1) y – 6
2) x² + 15 = 24
3) 8 + (x + 3)
4) 2x – 9 = 1
5) _x_ + 8 = 4y
2
IXL: 7th Grade R.1 and R.2
Directory for common verbal phrases . . .
NAME:______________________________________________________________________________ DATE: _____/_____/__________
Math-7 Individual Practice
“Translating Algebraic Sentences”
“more than”
and
“less than”
flip the order
Match the following algebraic sentences with the correct verbal sentence:
1) _____ y - 10
A.
the quotient of five and three times y
2) _____ 10 - y
B.
The sum of 6 and y divided by 3 is 24.
3) _____ y² + 4y
C.
ten less than y
4) _____ 2y – 3 = 9
D.
four less the product of 2 and y
5) _____ 3(y + 6) = 24
E.
the total of y squared and four times y
6) _____ 5y²
F.
y cubed divided by five
7) _____ 3y + 6 = 24
G.
Three times the sum of y and 6 is 24.
8) _____ 2y + 4y
H.
four less than twice y
9) _____ 5(2y)
I.
ten less y
10) _____ 6 + _y_ = 24
3
J.
Three times the difference of y and 6 is 24.
11) _____ 3( y – 6) = 24
K.
Twice y less three is 9.
12) _____ 2y - 4
L.
the product of five and twice y
13) _____ 4 – 2y
M.
five times y squared
14) _____ _y³
5
N.
twice y added to four times y
15) _____
O.
The total of three times y and 6 is 24.
_5_
3y
“less than”
flips
the order